Question

Which of the following statements are true? Select all that apply

Answer 1

The polynomial has 5 terms
(i dont know about the constant term one)

Answer 2

The correct options are:

A) The polynomial has 5 terms.

D) The constant term is 4.

Explanation:

Consider the provided polynomial.

`-2xy^5+3x^7-10x^3y^6+8x^6+4`

• Term is defined as a number and variable single number, variables or product.

• If a number is multiplied by a variable then it is know as coefficient.

• Terms without variable are known as constant

• Degree of a polynomial is the highest power of the variable that occurs in a polynomial.

• Highest degree term is called the leading term because it is usually written first and its coefficient is called the leading coefficient.

From the provided polynomial we can concluded that.

The number of terms in the provided polynomial is 5.

The degree of the polynomial is 9 and the leading coefficient is -10.

The constant term in the polynomial is 4.

The degree of first term is 6, the degree of the second term is 7, the degree of the third term is 9 and the degree of fourth term is 6.

So the polynomial is not in decreasing degree order.

Hence, the correct options are:

A) The polynomial has 5 terms.

D) The constant term is 4.